3565980 has 72 divisors (see below), whose sum is σ = 11806704. Its totient is φ = 864000.

The previous prime is 3565979. The next prime is 3566027. The reversal of 3565980 is 895653.

3565980 is a `hidden beast` number, since 3 + 565 + 98 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a plaindrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1080 + ... + 2880.

It is an arithmetic number, because the mean of its divisors is an integer number (163982).

Almost surely, 2^3565980 is an apocalyptic number.

3565980 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3565980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5903352).

3565980 is an abundant number, since it is smaller than the sum of its proper divisors (8240724).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3565980 is a wasteful number, since it uses less digits than its factorization.

3565980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1827 (or 1822 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 3565980 is about 1888.3802583166. The cubic root of 3565980 is about 152.7775827607. Note that the first 3 decimals are identical.

It can be divided in two parts, 356 and 5980, that added together give a palindrome (6336).

The spelling of 3565980 in words is "three million, five hundred sixty-five thousand, nine hundred eighty".